Answer:
B
Step-by-step explanation:
In the attached file
Answer:
3x + 3 = 26 or 2x - 3 + 2 = 26
Step-by-step explanation:
N = Nate
M = Maya
M = 2x - 3
N = x
2x -3 + x = 26
3x + 3 = 26
This will help you find the value of x, which is Nate's value. Then in return will help you find the value of Maya's.
Check your work!!
Answer: between hours 2 and hours 3
Step-by-step explanation:
half an hour past 7, will be 7 plus 30 minutes then 7:30.
we could also come from the other way, and say is 30 minutes before 8 o'clock.
X^2+8x=10, has to look like ()^2 = value:
(x+4)^2 = x^2+8x+16, you match first the x^2 and term with x, okay?
Now that 16 was not there (add zero!):
x^2+8x+16-16 = (x+4)^2 -16, finish the problem:
(x+4)^2 = 11+16=27, and x+4 = +/-sqrt(27) ---> x = -4+/-sqrt(27) = -4 +/-3*sqrt(3) if you prefer.
The quadratic formula is a direct answer:
x^2+8x-11=0
x = (-8 +/- sqrt( 8^4 -4*1*(-11)) ) / 2 = (-8 +/- sqrt(108))/2
sqrt(108)=sqrt(4*9*3) = 2*3*sqrt(3) = 6*sqrt(3)-->
x = (-8+/- 6*sqrt(3))/2 = - 4 +/- 3*sqrt(3)
Lesson: completing the square is longer and requires some algebra skills but it pays off. Quadratic formula does not need us to think! But it may be cumbersome. Both are good depending on the rpoblem.
Indeed the quadratic formula was invented completing the sqaure for a*x^2+b*x+c = 0
Finally, sqrt(3)~1.73, so you may approximate the solutions as -4+/-3*1.7 = -4 +/- 5.1 = -9.1, and 1.1